Polchinski ERG Equation in O(N) Scalar Field Theory
High Energy Physics - Theory
2009-11-07 v2
Abstract
We investigate the Polchinski ERG equation for d-dimensional O(N) scalar field theory. In the context of the non-perturbative derivative expansion we find families of regular solutions and establish their relation with the physical fixed points of the theory. Special emphasis is given to the large N limit for which many properties can be studied analytically.
Keywords
Cite
@article{arxiv.hep-th/0101191,
title = {Polchinski ERG Equation in O(N) Scalar Field Theory},
author = {Yuri Kubyshin and Rui Neves and Robertus Potting},
journal= {arXiv preprint arXiv:hep-th/0101191},
year = {2009}
}
Comments
7 pages, 4 figures, uses latex sprocl style. Two references added. To be published in the proceedings of the Second Conference on the Exact Renormalization Group (Rome, September 18-22, 2000), World Scientific